Pith Number

pith:ZYZFCBOB

pith:2022:ZYZFCBOBVGKQY7IGSHZKEJ7C7F

not attested not anchored not stored refs pending

Nonstationary Dual Averaging and Online Fair Allocation

Christian Kroer, Luofeng Liao, Yuan Gao

arxiv:2202.11614 v2 · 2022-02-23 · cs.GT · cs.CY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYZFCBOBVGKQY7IGSHZKEJ7C7F}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T05:06:55.185357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce325105c1a9950c7d0691f2a227e2f96428716402e2148ba78b5fe58b6c0619

Aliases

arxiv: 2202.11614 · arxiv_version: 2202.11614v2 · doi: 10.48550/arxiv.2202.11614 · pith_short_12: ZYZFCBOBVGKQ · pith_short_16: ZYZFCBOBVGKQY7IG · pith_short_8: ZYZFCBOB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZYZFCBOBVGKQY7IGSHZKEJ7C7F \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ce325105c1a9950c7d0691f2a227e2f96428716402e2148ba78b5fe58b6c0619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b094eafb40148986dafbbe4b9c118756717309bb951ad60b642df01deb94f6b",
    "cross_cats_sorted": [
      "cs.CY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2022-02-23T16:50:24Z",
    "title_canon_sha256": "c224720e2cfcba7156ed38901d7dfde39665e82812bedb151c848dd0c602c3b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.11614",
    "kind": "arxiv",
    "version": 2
  }
}